Theorems · Definition · logic and foundations
Turing.TM2to1.addBottom
{K : Type u_1} →
{Γ : K → Type u_2} → Turing.ListBlank ((k : K) → Option (Γ k)) → Turing.ListBlank (Turing.TM2to1.Γ' K Γ)The bottom marker is fixed throughout the calculation, so we use the addBottom function
to express the program state in terms of a tape with only the stacks themselves.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Turing.ListBlankstatement and proof · cited by 68
- Turing.ListBlank.consproof · cited by 31
- Turing.ListBlank.headproof · cited by 27
- Turing.ListBlank.tailproof · cited by 27
- Turing.ListBlank.mapproof · cited by 19
- Turing.TM2to1.Γ'statement · cited by 14
Cited by14
Results whose statement or proof uses this declaration.
- Turing.TM2to1.addBottom_nth_sndstatement and proof · cited by 3
- Turing.TM2to1.addBottom_head_fststatement · cited by 2
- Turing.TM2to1.addBottom_nth_succ_fststatement and proof · cited by 2
- Turing.TM2to1.TrCfg.casesOnstatement and proof · cited by 2
- Turing.TM2to1.trCfg_initproof · cited by 2
- Turing.TM2to1.tr_respectsproof · cited by 2
- Turing.TM2to1.addBottom_mapstatement · cited by 1
- Turing.TM2to1.addBottom_modifyNthstatement · cited by 1
- Turing.TM2to1.tr_respects_auxstatement and proof · cited by 1
- Turing.TM2to1.tr_respects_aux₁statement and proof · cited by 1
- Turing.TM2to1.tr_respects_aux₂statement and proof · cited by 1
- Turing.TM2to1.tr_respects_aux₃statement and proof · cited by 1